Group Theory: Basics

Related lectures (27)

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Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Explores bijections in linear algebra and the concept of cardinality between sets.

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Explores totally discontinuous group actions on sets and their mathematical implications.

Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Introduces the basics of group theory, including operations, properties, and Lie groups.

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.